For the roof of the shelter, Mia has a board that measures 1 square yard, a second board that measures 3 feet by 3 feet, and a third board that measures 36 inches by 36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
To determine which board will cover all the space needed for the roof, we need to compare the dimensions of each board with the required roof dimensions.
1 square yard is equal to 3 feet by 3 feet. Since the second board measures 3 feet by 3 feet, it will cover the necessary space for the roof.
1 foot is equal to 1/3 of a yard. Therefore, 3 feet is equal to 3/3 = 1 yard. Similarly, 36 inches is equal to 36/12 = 3 feet = 1 yard.
Since both the second and third boards measure 1 yard by 1 yard, either one of them can be used to cover all the space needed for the roof.